On Torsion-Free Barely Transitive Groups

Authors : Mahmut KUZUCUOĞLU

Pages : 273-276

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :B. Hartley asked the following question: Does there exist a torsion free barely transitive group? Existence of torsion free simple barely transitive group is also unknown. We answer the latter question negatively in a special case. Moreover we proved the following: Let G be a simple barely transitive group, and H be a stabilizer of a point. If for a non-identity element x \in G, CG insert ignore into journalissuearticles values(x); is infinite then, CG insert ignore into journalissuearticles values(x); cannot contain H.
Keywords : Barely transitive, commensurable